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Finding the Fourth Proportional to 6,109.93, 8,428.15 and 4,117.03

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Solution

The fourth proportional to 6,109.93, 8,428.15 and 4,117.03 is: 5,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.93 : 8,428.15 = 4,117.03 : x
  2. Step 2: Convert to fraction form
    6,109.93/8,428.15 = 4,117.03/x
  3. Step 3: Cross multiply
    6,109.93x = 8,428.15 × 4,117.03
  4. Step 4: Simplify right side
    6,109.93x = 34,698,930.47
  5. Step 5: Solve for x
    x = 34,698,930.47/6,109.93
  6. Step 6: Final answer
    x = 5,679.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.